A square quilt for a child’s bed has a border made up of 44 pieces with an area of x each, and 4 small squares with an area of 1 square inch each. The main part of the quilt is made of 121 squares with an area of x 2 each. Find an expression for the area of the quilt.

Answers

Answer 1
Answer:

Answer:

A = ( 11x + 2 )²

Step-by-step explanation:

To find the total area of the quilt, we need to add up all the areas given:

If the border has 44 pieces with an area of x each one, that area is 44x.

The area of 4 squares of 1 in² each is 4×1 in² = 4 in².

The main part is made up of 121 squares with an area of x², which is 121x².

Adding those areas up, we get the expression for the total area:

A = 121x² + 44x + 4

You can easily notice that 121 = 11² and 4 = 2². If you double its product (2·11·2) = 44

So:

A = ( 11x + 2 )²


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Solve and describe the steps used to find x for the equation 2(x + 4) – 10 = 12

Answers

Well,  you want to find the value of x.  

Esteban has a big jar of change in his room. he has 600 coins total, and 240 of them are pennies.what percentage of the coins are pennies?

Answers

Put it as a fraction first so it is 240/600. Now all you need to do is get the denominater (600) to 100. Divide 600 by 100 to find out what you need to divide the top by. 600/100= 6. Divide the 240 by 6 to get 40. So the fraction is 40/100 which can then be converted into a percentage. Your answer is 40%.

Answer:

40%

Step-by-step explanation:

Eli is thinking of two numbers. If you add them, the answer is 13. If you subtract them, the answer is 3. What is one of the two numbers?

Answers

substract 3 from the total and divide it with 2
one of them is 5 and the other one is 8.

Are the triangles similar? If they are, identify the similarity ratio.A) Yes; the similarity ratio is 3:4.
B) Yes; the similarity ratio is 2:3.
C) Yes; the similarity ratio is 1:2.
D) No; the triangles are not similar.

Answers

A, because if you match the left triangle's sides to the right triangle's sides and simplify the fractions the ratio is 3/4. 6/8= 3/4, 9/12=3/4. and 12/16=3/4

PLEASE ANSWER QUICKLY! I WILL GIVE BRAINLIEST. What is 5/6 of 1/2?

A. 5/12
B. 6/12
C. 5/8
D. 6/8

Answers

Answer:

5/12

Step-by-step explanation:

of means multiplication. so multiply 5x2 / 6x2 which is 5/12

Answer:

A. 5/12

Step-by-step explanation:

the "of" in the answer is asking you to multiply.

what you want to do is multiply the numerators and denominators.

5 x 1 = 5

6 x 2= 12

giving you 5/12!

hope this helps <3

How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?Two
Many
None
One

Answers

Answer:

many solutions

Step-by-step explanation:

4n + 6 = 4 + 2 + 4n

We try to solve for n

we try to get the variable alone

4n + 6 = 4 + 2 + 4n

combine like terms

4n + 6 = 6 + 4n

subtract 4n from both sides

6=6

If we arrive at a true statement like 5=5 then the equation has infinitely many soltions

We arrived at a true statement 6=6 so infinitely many solutions

4n+6=4+2+4n, well first combine like terms, 4n+6=6+4n and those are exactly the same, there's no magical n that can make 4n+6 not equal 4n+6, so many